My cat just knocked over some liquid bleach (Hydrogen Peroxide

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My cat just knocked over some liquid bleach (Hydrogen Peroxide so not quite as dangerous as chlorine based stuff thankfully) and it spilled over the floor. I panicked and removed the cat from the room then wiped the spill, mopped the floor down to rinse what was left off, then wiped up that spill as well. Nothing got close to the food (which is canned anyway) so I'm not particularly worried about that. I've kept that room off limits while everything dries up.

I didn't catch the incident right away, probably took me about 30 seconds to respond to the crashing sound and then another minute or so to figure out what had fallen + remove my cat from the area. I'm kind of worried that some of the solution might have gotten onto his paws. Is this a significant risk? Hydrogen Peroxide is a mild skin irritant but is especially bad if it gets into contact with the eyes. Swallowing it is obviously not a good idea either. Should I be worried that my cat licking his paws could cause problems or is that small an amount probably not going to do anything?

(Sorry if this is the wrong board. First time posting on /an/ and, like I said, I kind of panicked when I saw spilled chemicals and my cat in the same room)